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Title: A fractional calculus of variations for multiple integrals with application to vibrating string
Author: Almeida, R.
Malinowska, A.B.
Torres, D.F.M.
Issue Date: 2010
Publisher: American Institute of Physics (AIP)
Abstract: We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. © 2010 American Institute of Physics.
Peer review: yes
ISSN: 0022-2488
Appears in Collections:MAT - Artigos

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